1. The problem statement, all variables and given/known data Let xn = 1/ln(n+1) for n in N. a) Use the definition of limit to show that lim(xn) = 0. b) Find a specific value of K(ε) as required in the definition of limit for each of i)ε=1/2, and ii)ε=1/10. 3. The attempt at a solution a) If ε > 0 is given, 1/ln(n+1) < ε <=> ln(n+1) > 1/ε <=> e^(ln(n+1)) > e^(1/ε) <=> n+1 > e^(1/ε) <=> n > e^(1/ε) - 1 Because ε is arbitrary number, so we have n > 1/ε. If we choose K to be a number such that K > 1/ε, then we have 1/ln(n+1) < ε for any n > K. right?? b) so.. K can be 3 for )ε=1/2, and 11 for ii)ε=1/10. Correct?